Quadratics Unit Test

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quadraticshandout.pdf

Test Name _______________________

Algebra I

No Work – No Credit – Pencil Only

Find the product

1.

2.

3.

4.

5.

Factor fully

6.

7.

Solve for the x-intercepts/roots by factoring.

8.

9.

10.

11.

Find the x-intercepts/roots using the quadratic formula.

12.

13.

Solve the following related to the tissue box

14. Given the area of 1 side of the tissue box is given by the formula A = Length times

width (A=lw), what is the length of the tissue box?

15. The manufacturer needs to know how much the box will hold (volume). Volume can be found by

multiplying length times width times height (V=lwh). Given that all measures of the cube are the same,

what is the equation for the volume?

Graph the following

16.

a) what are the values of the coefficients in standard form

a= b= c=

b) what is the y intercept

y =

c) what are the roots/xintercepts if any?

X=

d) what is the line of symmetry and the vertex Line x = Vertex ( , )

e) Graph

17.

a) what are the values of the coefficients in standard form

-1 0 -8 -6 -4 -2 2 4 6 8 10

-1 0

-8

-6

-4

-2

2

4

6

8

10

a= b= c=

b) what is the y intercept

y =

c) what are the roots/xintercepts if any?

X=

d) what is the line of symmetry and the vertex Line x = Vertex ( , )

e) Graph

18.

a) what are the values of the coefficients in standard form

a= b= c=

b) what is the y intercept y =

c) what are the roots/xintercepts if any?

X=

-1 0 -8 -6 -4 -2 2 4 6 8 10

-1 0

-8

-6

-4

-2

2

4

6

8

10

d) what is the line of symmetry and the vertex Line x = Vertex ( , )

e) Graph

Bonus Expand the binomial

-1 0 -8 -6 -4 -2 2 4 6 8 10

-1 0

-8

-6

-4

-2

2

4

6

8

10